Question

2 pairs of goggles and 3 swimming caps cost $60.30.
3 pairs of goggles and 5 swimming caps cost $95.20.
Find the cost of a swimming cap.

Answer 1

$2g + 3s = 60.3$
$3g + 5s = 95.2$
If you look at the first formula we could write it as
$g = \frac{60.3}{2} - \frac{3s}{2}$
And if you write this instead of the g in the second equation you get
$3(\frac{60.3}{2} - \frac{3s}{2} ) + 5s = 95.2$
$\frac{180.9}{2} - \frac{9s}{2} + 5s = 95.2$
$5s - 4.5s = 95.2 - 90.45$
$0.5s = 4.75$
$s = \frac{4.75}{0.5}$
$s = 9.5$

Swimming cap costs $9.5

Answer 2

Try to divide 95.20 by 1. In this question you are looking for the unit rate so you have to use 1.